Question: Each of Exercises 61 through 68 involves either the chain rule for partial derivatives or the incremental approximation formula for functions of two variables. An
Each of Exercises 61 through 68 involves either the chain rule for partial derivatives or the incremental approximation formula for functions of two variables.
An editor estimates that if x thousand dollars are spent on development and y thousand dollars are spent on promotion, approximately Q(x, y) = 20x3/2y copies of a new book will be sold. Current plans call for the expenditure of $36,000 on development and $25,000 on promotion. Use calculus to estimate how sales will be affected if the amount spent on development is increased by $500 and the amount on promotion is decreased by $1,000.
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